Suppose two dice (one green, one red) are rolled. Consider the following events. A: The red die shows 2. B: The numbers add to 4. C: At least one of the numbers is 2. D: The numbers do not add to 9. Express the following in symbols.
"Either the numbers add to 4, or they add to 9, or the red die shows 2."

A) $A \cap B \cap D$
B) $A \cup B \cup D ^ { \prime }$
C) $( A \cap B ) \cup D ^ { \prime }$
D) $A \cup B \cup D$
E) $A \cup D \cup D$

Question

Suppose two dice (one green, one red) are rolled. Consider the following events. A: The red die shows 2. B: The numbers add to 4. C: At least one of the numbers is 2. D: The numbers do not add to 9. Express the following in symbols.  
"Either the numbers add to 4, or they add to 9, or the red die shows 2."
 
A) $A \cap B \cap D$
B)   $A \cup B \cup D ^ { \prime }$
C)   $( A \cap B ) \cup D ^ { \prime }$
D)   $A \cup B \cup D$
E)   $A \cup D \cup D$

Quizplus · Accepted Answer

$A \cup B \cup D ^ { \prime }$ is the correct answer because it represents the union of the events A (the red die shows 2), B (the numbers add to 4), and the complement of D (the numbers do not add to 9). This union represents the event that either the numbers add to 4, or they add to 9, or the red die shows 2.

Suppose Two Dice (One Green, One Red) Are Rolled A∩B∩DA \cap B \cap DA∩B∩D

Suppose Two Dice (One Green, One Red) Are Rolled $A \cap B \cap D$